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Popular >

f(x)=-x^2-5x+1

Solution

f (x) = - x^{2} - 5 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{29}{4}

X Intercepts : (- \frac{5 + 29}{2}, 0), (\frac{29 - 5}{2}, 0), Y Intercepts : (0, 1)

Vertex : Maximum (- \frac{5}{2}, \frac{29}{4})

Inverse : - \frac{5 + - 4 x + 29}{2}, - \frac{5 - - 4 x + 29}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{29}{4}]

Solution steps

Domain of

- x^{2} - 5 x + 1 : - \infty < x < \infty

Range of

- x^{2} - 5 x + 1 : f (x) \leq \frac{29}{4}

Axis interception points of

- x^{2} - 5 x + 1 :

X Intercepts

: (- \frac{5 + 29}{2}, 0), (\frac{29 - 5}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

- x^{2} - 5 x + 1 :

Maximum

(- \frac{5}{2}, \frac{29}{4})

Inverse of

- x^{2} - 5 x + 1 : - \frac{5 + - 4 x + 29}{2}, - \frac{5 - - 4 x + 29}{2}

Popular Examples

f(x)=(x-7)(x)(x-3)(x+2)

f (x) = (x - 7) (x) (x - 3) (x + 2)

f(x)=tan(x^2)+1

f (x) = tan (x^{2}) + 1

f(x)=-0.1x^4-0.15x^3-0.5x^2-0.25x+1.2

f (x) = - 0.1 x^{4} - 0.15 x^{3} - 0.5 x^{2} - 0.25 x + 1.2

y = x^{2} + 11 x + 24

f(x)=\sqrt[5]{x+3}

Frequently Asked Questions (FAQ)

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